Highest Common Factor of 846, 201, 526, 17 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 846, 201, 526, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 846, 201, 526, 17 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 846, 201, 526, 17 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 846, 201, 526, 17 is 1.
HCF(846, 201, 526, 17) = 1
HCF of 846, 201, 526, 17 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 846, 201, 526, 17 is 1.
Highest Common Factor of 846,201,526,17 is 1
Step 1: Since 846 > 201, we apply the division lemma to 846 and 201, to get
846 = 201 x 4 + 42
Step 2: Since the reminder 201 ≠ 0, we apply division lemma to 42 and 201, to get
201 = 42 x 4 + 33
Step 3: We consider the new divisor 42 and the new remainder 33, and apply the division lemma to get
42 = 33 x 1 + 9
We consider the new divisor 33 and the new remainder 9,and apply the division lemma to get
33 = 9 x 3 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 846 and 201 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(33,9) = HCF(42,33) = HCF(201,42) = HCF(846,201) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 526 > 3, we apply the division lemma to 526 and 3, to get
526 = 3 x 175 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 526 is 1
Notice that 1 = HCF(3,1) = HCF(526,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1
Notice that 1 = HCF(17,1) .
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Frequently Asked Questions on HCF of 846, 201, 526, 17 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 846, 201, 526, 17?
Answer: HCF of 846, 201, 526, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 846, 201, 526, 17 using Euclid's Algorithm?
Answer: For arbitrary numbers 846, 201, 526, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.